Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

Xavier Antoine; Christophe Besse; Stephane Descombes

doi:10.1137/040606983

Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

SIAM Journal on Numerical Analysis ◽

10.1137/040606983 ◽

2006 ◽

Vol 43 (6) ◽

pp. 2272-2293 ◽

Cited By ~ 51

Author(s):

Xavier Antoine ◽

Christophe Besse ◽

Stephane Descombes

Keyword(s):

Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Artificial Boundary ◽

One Dimensional ◽

Artificial Boundary Conditions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Discrete artificial boundary conditions for nonlinear Schrödinger equations

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2007.07.007 ◽

2008 ◽

Vol 47 (11-12) ◽

pp. 1264-1283 ◽

Cited By ~ 7

Author(s):

Andrea Zisowsky ◽

Matthias Ehrhardt

Keyword(s):

Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Artificial Boundary ◽

Artificial Boundary Conditions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Absorbing Boundary Conditions for One-dimensional Nonlinear Schrödinger Equations

Numerische Mathematik ◽

10.1007/s00211-006-0012-7 ◽

2006 ◽

Vol 104 (1) ◽

pp. 103-127 ◽

Cited By ~ 25

Author(s):

Jérémie Szeftel

Keyword(s):

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Absorbing Boundary ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

Journal of Computational Physics ◽

10.1016/j.jcp.2005.11.005 ◽

2006 ◽

Vol 215 (2) ◽

pp. 552-565 ◽

Cited By ~ 56

Author(s):

Chunxiong Zheng

Keyword(s):

Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

One Dimensional ◽

Nonreflecting Boundary Conditions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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One-dimensional gap solitons in quintic and cubic–quintic fractional nonlinear Schrödinger equations with a periodically modulated linear potential

Nonlinear Dynamics ◽

10.1007/s11071-019-05240-x ◽

2019 ◽

Vol 98 (2) ◽

pp. 985-995 ◽

Cited By ~ 10

Author(s):

Liangwei Zeng ◽

Jianhua Zeng

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Linear Potential ◽

Schrödinger Equations ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Gap Solitons

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Split-step modified cubic B-splines collocation methods for nonlinear Schrödinger equations with Dirichlet boundary conditions

10.1063/1.5114567 ◽

2019 ◽

Author(s):

Shanshan Wang

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Nonlinear Schrödinger Equations ◽

Dirichlet Boundary Conditions ◽

Collocation Methods ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

B Splines ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

Journal of Differential Equations ◽

10.1016/j.jde.2018.07.063 ◽

2019 ◽

Vol 266 (2-3) ◽

pp. 1121-1152 ◽

Cited By ~ 2

Author(s):

Liliana Esquivel ◽

Nakao Hayashi ◽

Elena I. Kaikina

Keyword(s):

Boundary Value Problem ◽

Dirichlet Boundary ◽

Boundary Value ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Dirichlet Boundary Value Problem ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

Journal of Mathematical Physics ◽

10.1063/1.5083078 ◽

2019 ◽

Vol 60 (9) ◽

pp. 091507

Author(s):

Liliana Esquivel ◽

Nakao Hayashi ◽

Elena I. Kaikina

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Neumann Boundary ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Neumann Boundary Value Problem ◽

Nonlinear Schrodinger Equations

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Multicomponent nonlinear Schrödinger equations with constant boundary conditions

Theoretical and Mathematical Physics ◽

10.1007/s11232-009-0067-6 ◽

2009 ◽

Vol 159 (3) ◽

pp. 787-795

Author(s):

V. S. Gerdjikov ◽

N. A. Kostov ◽

T. I. Valchev

Keyword(s):

Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Stationary solutions to cubic nonlinear Schrödinger equations with quasi-periodic boundary conditions

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aba861 ◽

2020 ◽

Vol 53 (38) ◽

pp. 385204 ◽

Cited By ~ 1

Author(s):

Andrea Sacchetti

Keyword(s):

Boundary Conditions ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Stationary Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Stability Analysis for Nonlinear Schrödinger Equations with Nonlinear Absorbing Boundary Conditions

Journal of Computational Mathematics ◽

10.4208/jcm.1608-m4507 ◽

2017 ◽

Vol 35 (1) ◽

pp. 1-18 ◽

Cited By ~ 2

Author(s):

Jiwei Zhang ◽

Zhenli Xu ◽

Xiaonan Wu ◽

Desheng Wang

Keyword(s):

Stability Analysis ◽

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Absorbing Boundary ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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